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2121220101 = 37111317371123
BaseRepresentation
bin111111001101111…
…0100000000000101
312110211110010221110
41332123310000011
513321013020401
6550253035233
7103365034110
oct17633640005
95424403843
102121220101
11999412070
124b2485b19
1327a60a730
14161a11577
15c63599d6
hex7e6f4005

2121220101 has 128 divisors (see below), whose sum is σ = 4133154816. Its totient is φ = 930631680.

The previous prime is 2121220091. The next prime is 2121220133. The reversal of 2121220101 is 1010221212.

It is not a de Polignac number, because 2121220101 - 210 = 2121219077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121220151) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1888326 + ... + 1889448.

It is an arithmetic number, because the mean of its divisors is an integer number (32290272).

Almost surely, 22121220101 is an apocalyptic number.

2121220101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2121220101 is a deficient number, since it is larger than the sum of its proper divisors (2011934715).

2121220101 is a wasteful number, since it uses less digits than its factorization.

2121220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2121220101 is about 46056.7052772992. The cubic root of 2121220101 is about 1284.8780539044.

Adding to 2121220101 its reverse (1010221212), we get a palindrome (3131441313).

It can be divided in two parts, 2121 and 220101, that added together give a palindrome (222222).

The spelling of 2121220101 in words is "two billion, one hundred twenty-one million, two hundred twenty thousand, one hundred one".

Divisors: 1 3 7 11 13 17 21 33 37 39 51 77 91 111 119 143 187 221 231 259 273 357 407 429 481 561 629 663 777 1001 1123 1221 1309 1443 1547 1887 2431 2849 3003 3367 3369 3927 4403 4641 5291 6919 7293 7861 8177 8547 10101 12353 13209 14599 15873 17017 19091 20757 23583 24531 37037 37059 41551 43797 48433 51051 57239 57273 86471 89947 102193 111111 124653 133637 145299 160589 171717 210001 248183 259413 269841 290857 306579 400911 457061 481767 540163 629629 630003 706367 744549 872571 1124123 1371183 1470007 1620489 1737281 1888887 2119101 2730013 3199427 3372369 3781141 4410021 4944569 5211843 5941793 7770037 8190039 9182771 9598281 11343423 14833707 17825379 19110091 23310111 27548313 41592551 54390259 57330273 64279397 101010481 124777653 163170777 192838191 303031443 707073367 2121220101